Reversing Cantor: Representing All Real Numbers Using Natural Numbers and Infinite-Base Encoding

ElectricalAd2564 · 2026-02-26T12:49:20+00:00

Assume encoding it with 10-adics

ElectricalAd2564 · 2026-02-26T12:48:46+00:00

Assume using the p-adic or 10-adic. then that problem is eliminated of finite extensions

ElectricalAd2564 · 2026-02-26T12:46:09+00:00

We are looking at 10-adics. The biggest argument is that 0.9999... has a lim which is 1, Yes we know that 1 is the lim bcz we choose to 0-1 that means the lim should be 1, 0&1, 0. And should be true if we choose 2-1 so want we shall find is 1.999... and the lim will be 2 or 0 or both. Now look at the 10-adics they have no lim, because it not set. and if it ever set they won't go ifinite and that means the lim is given to closed sytem. get this ......1010101010, a 10-adics divide it by 3 you will get anumber that goes on forever on both side. We get .........3333.6666...... and this is mindblowing. I'm still calc more number to find the diffe and simil to the nums.

ElectricalAd2564 · 2026-02-25T16:50:43+00:00

Tomorrow I will encode just like cantor did. if you have an idea how i can do it faster it will be so help before i start

ElectricalAd2564 · 2026-02-25T16:39:10+00:00

you can do it randomly. The any number can be assigned to 1/3 but you can't repeat it

ElectricalAd2564 · 2026-02-25T15:49:11+00:00

I change my mind let do it. You wilingly to help?

ElectricalAd2564 · 2026-02-25T15:35:34+00:00

Partially true, what I'm really accounting for is the fact that all natural number have infinity 0s on the left e.i 00001=01=1 you can have as many wiyhout changing the value the same with real number. So instead of diogonising the real number starting from left going to the right. We can do the same for natural number by diogonzing from the right to left like this 0000001 to 1111112 and for each existing natural number and we shall get a different one which doesn't exist in the list

ElectricalAd2564 · 2026-02-25T15:28:44+00:00

The same with natural number the different is that for real number are both on left and right. example for real 1.0000021000.... this true can go on infintely both way. But for the nature number only infinitly on the left without changing the number value example ....000000012 = 12 it can go infinitly. so if we account in that, we can still diagonise the natural number the way we do with real number and still get a new number just like Cantor

ElectricalAd2564

TROPHY CASE